Reasoning from Data and Chance Summary
Monday - Friday, July 2 - 6, 2012
The goal for every teacher in this working group is to create some resource that they (and other teachers) can use with students or teachers. In addition, we want participants to deepen their understanding of the fundamental components of a good statistical study:
We strated with a simple prompt: "Let's think about some Field Day events from school...
Which ones could we replicate here at PCMI?
The group quickly converged on a research question involving cup-stacking:
Within the first two days of class, the seven participants went deep into a lot of really important fundamental issues in statistics / data: They designed a protocol to run the study, collected data, and constructed a variety of simulations to determine if the results could have plausibly occurred by chance variation. Here are tome things they discussed:
We didn't simply pose those two questions and let them go: We listened carefully to their conversations, but allowed the participants to work through and answer their own questions. They were extremely thoughtful, engaged, and successful at arriving at good answers and resolutions to their questions. Once in a while, we would be there to suggest a good resource, or push them in a more productive direction, but the conversations were deep, interesting and productive.
During the second half of the week, participants got experience crating simulations and exploring data with Fathom, a Software package designed specifically for the learning and teaching of statistics. In addition, participants were given some exercises and lessons would familiarize them with tasks that match the Common Core State Standards in Statistics and Probability.
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.